Chapter 565: Master
Zhou Yu'an stated the preliminary results of their research in partial differential equations and algebraic geometry: "We make M an n-dimensionally complete Riemannian manifold, and by combining the Riemannian curvature tensor and the Ricci curvature tensor, we construct this set of equations......"
The PPT shows this set of formulas: Γ=1/2g^kl{∂gil/∂xj+∂gil/∂xi-∂gij/∂xjl}...... ∂^2gij/∂t^2=-Rgij
"From the point of view of partial differential equations, this is a highly nonlinear hyperbolic equation, and finding its exact solution is all it takes, and perhaps a high-quality Big Four journal paper can be written. ”
"Yes, we have found some precise solutions for it, and we would like to thank Xiao Wang for his efforts. Zhou Yu'an looked at his little brother Xiao Wang, and his eyes gave affirmation and encouragement.
Xiao Wang has been working in the mathematics room of the center for a year, he is a newcomer, he is only 25 years old this year, he has obtained a doctorate in mathematics, and he is a fighter among newcomers.
This shows the strong strength of the mathematics room of the center, and Xiao Wang, a newcomer, has made research results at the level of papers in the four major mathematics journals, and these accurate solutions are all obtained by him.
Xiao Wang said modestly, thanks to the big platform of the center, and thanks to Director Shen and Director Zhou for their careful guidance, what I did was just the most basic operation, solving equations. And the builders of this set of equations are Mr. Zhou and Professor Xu.
The young man is very popular, Xiao Wang's data is good-looking, the words are good, and there is no cold style, copying and printing, arranging meeting rooms, preparing tea and other miscellaneous work, Xiao Wang took the initiative to undertake.
Academic leaders such as Shen Qi, Xu Yang, and Ou Ye have praised Xiao Wang, and young people who are strong and willing to do dirty work often attract special attention from leaders.
Zhou Yu'an continued his statement: "But what we are doing is a unified mathematical project, not a simple partial differential equation. So, after finding the exact solution, we try to build a new model through algebraic geometry. ”
"For example, the unification of mathematics is like a car, its parts are the branches of mathematics, algebraic geometry is the side wall of the body, partial differential equations are the roof of the body, number theory is the wheel, topology is the seat, and so on. ”
"There are all kinds of manufacturing standards for parts, and mathematicians of all branches study different things. ”
"And a complete car, we want it to have only one standard. ”
"In my opinion and Professor Xu, if we complete the 'welding' of partial differential equations + algebraic geometry, then the 'body' structure of mathematical unity is locked. ”
"I would like to invite Professor Xu to present the research results of 'A New Model of Algebraic Geometry Based on the Definite Solution of Hyperbolic Geometry'. After Zhou Yu'an finished speaking, he handed the page-turning pen to Xu Yang.
Xu Yang said: "The analogy of Yu'an's play is appropriate but also has some loopholes, and it is generally OK. The unification of mathematics is not simply the idealization of welding and assembling various parts together to form a complete vehicle. Various parts are forcibly assembled together, and some are not compatible, which may cause the car to not catch fire. The process of assembling a car inevitably involves new technical essentials that allow the car to start smoothly. Of course, the first thing we have to do is to assemble the 'car'. ”
"Hmm. Shen Qi nodded and said, "The combination of Yu An and Professor Xu's ideas is basically the essence of the unification of mathematics. What is the unification of mathematics? Two key words, unification and enforceability. We're not porters or assemblers, we're strategists and tactics. Professor Xu, please continue. ”
Xu Yang showed an extremely complex mathematical model, how complicated is it? Most of these mathematicians present could not understand it.
This is normal, and the vast majority of mathematicians have decided on their main direction at the doctoral level.
Some specialize in algebraic geometry, others specialize in number theory, and some show exceptional talent in the field of partial differential equations.
Major in one direction and minor in another, there are also such scholars, and there are not many of them.
Mathematicians who are proficient in more than three branches are relatively few.
Xu Yang is an algebraic geometic, he is also proficient in differential geometry and partial differential equations, and he is already an outstanding mathematician.
However, Xu Yang is not as good as Zhou Yu'an in the field of differential geometry and partial differential equations, and Zhou Yu'an cannot do Xu Yang's depth in algebraic geometry.
Ou Ye can beat Xu Yang and Zhou Yu'an in the field of number theory, and she is also beaten by Xu Yang and Zhou Yu'an in the fields of algebraic geometry, differential geometry, and partial differential equations.
At this moment, Xu Yang took out the most profound thing in the field of algebraic geometry.
Ou Ye was hanged, she couldn't understand it, so she could only remain silent.
"Let me explain the model. Xu Yang took a sip of tea and said, "The colleagues in the center are amazing, they have constructed the equations of hyperbolic geometric flow and found the exact solution. Based on the results of their research, my students and I built this model of the composition. ”
Shen Qi couldn't help but say: "Professor Xu, you have redefined Sen Contraction? It's a wonderful idea, I have also seen some new things, Lao Xu is really a master, this kind of technique is amazing, and the artist is bold." ”
A master is a master, and Shen Qi saw the essential thing at a glance. Xu Yang nodded at Shen Qi and said, "Old Shen, since you have seen through the essence, then I won't be verbose, I will skip the establishment process of this curved body model directly, and only talk about the conclusions and difficult points." Are you all right?"
"No comment, no comment. ”
Mathematics is like this, some things you don't understand just don't understand, and you may not be able to understand it after a week when a master explains to you.
Instead of pretending not to understand, it is better to listen directly to the master to tell the conclusion.
The conclusions given by the masters are often highly generalized, and for a master in the field of non-algebraic geometry like Ouye, she only needs to know the conclusions of the algebraic geometry section of the project.
Xu Yang continued: "Mori Shrinkage is a set of theories invented by Mori Shigefumi, who began to study the Langlands Program for a long time, and he won the Fields Medal in 1990. Mori's ambition is also to complete the unification of mathematics, and many of the ideas he puts forward are still very instructive. ”
"Our model refers to the core of the Sen shrinkage, and then we create some of our own content, and our preliminary conclusion is that the generalized curved minimalist is not smooth even if it exists, but a singular cluster with canonical singularities. ”
"Speaking of which, do you think of anything? Yes, that's right, doing it, we found that the new model we built is actually related to the Hodge conjecture in the dark! Who proved the Hodge conjecture?" Xu Yang said this, and suddenly became excited.
Everyone was also very excited: "Shen Qi!"